(X-2)(y-5)=(2y-1)(y+1)+7

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Solution for (X-2)(y-5)=(2y-1)(y+1)+7 equation: 


Simplifying
(X + -2)(y + -5) = (2y + -1)(y + 1) + 7

Reorder the terms:
(-2 + X)(y + -5) = (2y + -1)(y + 1) + 7

Reorder the terms:
(-2 + X)(-5 + y) = (2y + -1)(y + 1) + 7

Multiply (-2 + X) * (-5 + y)
(-2(-5 + y) + X(-5 + y)) = (2y + -1)(y + 1) + 7
((-5 * -2 + y * -2) + X(-5 + y)) = (2y + -1)(y + 1) + 7
((10 + -2y) + X(-5 + y)) = (2y + -1)(y + 1) + 7
(10 + -2y + (-5 * X + y * X)) = (2y + -1)(y + 1) + 7
(10 + -2y + (-5X + yX)) = (2y + -1)(y + 1) + 7

Reorder the terms:
(10 + -5X + -2y + yX) = (2y + -1)(y + 1) + 7
(10 + -5X + -2y + yX) = (2y + -1)(y + 1) + 7

Reorder the terms:
10 + -5X + -2y + yX = (-1 + 2y)(y + 1) + 7

Reorder the terms:
10 + -5X + -2y + yX = (-1 + 2y)(1 + y) + 7

Multiply (-1 + 2y) * (1 + y)
10 + -5X + -2y + yX = (-1(1 + y) + 2y * (1 + y)) + 7
10 + -5X + -2y + yX = ((1 * -1 + y * -1) + 2y * (1 + y)) + 7
10 + -5X + -2y + yX = ((-1 + -1y) + 2y * (1 + y)) + 7
10 + -5X + -2y + yX = (-1 + -1y + (1 * 2y + y * 2y)) + 7
10 + -5X + -2y + yX = (-1 + -1y + (2y + 2y2)) + 7

Combine like terms: -1y + 2y = 1y
10 + -5X + -2y + yX = (-1 + 1y + 2y2) + 7

Reorder the terms:
10 + -5X + -2y + yX = -1 + 7 + 1y + 2y2

Combine like terms: -1 + 7 = 6
10 + -5X + -2y + yX = 6 + 1y + 2y2

Solving
10 + -5X + -2y + yX = 6 + 1y + 2y2

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-10' to each side of the equation.
10 + -5X + -2y + -10 + yX = 6 + 1y + -10 + 2y2

Reorder the terms:
10 + -10 + -5X + -2y + yX = 6 + 1y + -10 + 2y2

Combine like terms: 10 + -10 = 0
0 + -5X + -2y + yX = 6 + 1y + -10 + 2y2
-5X + -2y + yX = 6 + 1y + -10 + 2y2

Reorder the terms:
-5X + -2y + yX = 6 + -10 + 1y + 2y2

Combine like terms: 6 + -10 = -4
-5X + -2y + yX = -4 + 1y + 2y2

Add '2y' to each side of the equation.
-5X + -2y + 2y + yX = -4 + 1y + 2y + 2y2

Combine like terms: -2y + 2y = 0
-5X + 0 + yX = -4 + 1y + 2y + 2y2
-5X + yX = -4 + 1y + 2y + 2y2

Combine like terms: 1y + 2y = 3y
-5X + yX = -4 + 3y + 2y2

Reorder the terms:
4 + -5X + -3y + yX + -2y2 = -4 + 3y + 2y2 + 4 + -3y + -2y2

Reorder the terms:
4 + -5X + -3y + yX + -2y2 = -4 + 4 + 3y + -3y + 2y2 + -2y2

Combine like terms: -4 + 4 = 0
4 + -5X + -3y + yX + -2y2 = 0 + 3y + -3y + 2y2 + -2y2
4 + -5X + -3y + yX + -2y2 = 3y + -3y + 2y2 + -2y2

Combine like terms: 3y + -3y = 0
4 + -5X + -3y + yX + -2y2 = 0 + 2y2 + -2y2
4 + -5X + -3y + yX + -2y2 = 2y2 + -2y2

Combine like terms: 2y2 + -2y2 = 0
4 + -5X + -3y + yX + -2y2 = 0

The solution to this equation could not be determined.

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